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Finding the Third Proportional to 93,000 and 139,134

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Solution

The third proportional to 93,000 and 139,134 is: 208,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,000 : 139,134 = 139,134 : x
  2. Step 2: Convert to fraction form
    93,000/139,134 = 139,134/x
  3. Step 3: Cross multiply
    93,000x = 139,134 × 139,134
  4. Step 4: Simplify right side
    93,000x = 19,358,269,956
  5. Step 5: Solve for x
    x = 19,358,269,956/93,000
  6. Step 6: Final answer
    x = 208,153.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.